### Abstract

We present evidence that a nonperturbative model of quantum gravity defined via Euclidean dynamical triangulations contains a region in parameter space with an extended 4-dimensional geometry when a non-trivial measure term is included in the gravitational path integral. Within our extended region we find a large scale spectral dimension of D_{s} (σ → ∞) = 4.04 ± 0.26 and a Hausdorff dimension that is consistent with D_{H} = 4 from finite size scaling. We find that the short distance spectral dimension is D_{s} (σ → 0) ≈ 3/2, which may resolve the tension between asymptotic safety and holographic entropy scaling.

Original language | English (US) |
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Journal | Proceedings of Science |

Volume | 139 |

State | Published - Jan 1 2011 |

Externally published | Yes |

Event | 29th International Symposium on Lattice Field Theory, Lattice 2011 - Squaw Valley, Lake Tahoe, United States Duration: Jul 10 2011 → Jul 16 2011 |

### ASJC Scopus subject areas

- General

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## Cite this

Coumbe, D., & Laiho, J. W. (2011). Exploring the phase diagram of lattice quantum gravity.

*Proceedings of Science*,*139*.